NTA JEE Main 25th February 2021 Shift 1

A proton, a deuteron and an $$\alpha$$ particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is ______ and their speed is ______ in the ratio.

Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in the ratio 8 : 1. The radius of coil is ______.

The current (i) at time $$t = 0$$ and $$t = \infty$$ respectively for the given circuit is:

The angular frequency of alternating current in a L-C-R circuit is 100 rad s$$^{-1}$$. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

Two coherent light sources having intensity in the ratio $$2x$$ produce an interference pattern. The ratio $$\frac{I_{max} - I_{min}}{I_{max} + I_{min}}$$ will be:

An $$\alpha$$ particle and a proton are accelerated from rest by a potential difference of 200 V. After this, their de Broglie wavelengths are $$\lambda_\alpha$$ and $$\lambda_p$$ respectively. The ratio $$\frac{\lambda_p}{\lambda_\alpha}$$ is:

Two radioactive substances $$X$$ and $$Y$$ originally have $$N_1$$ and $$N_2$$ nuclei respectively. Half life of $$X$$ is half of the half life of $$Y$$. After three half lives of $$Y$$, number of nuclei of both are equal. The ratio $$\frac{N_1}{N_2}$$ will be equal to:

A 5 V battery is connected across the points X and Y. Assume $$D_1$$ and $$D_2$$ to be normal silicon diodes. Find the current supplied by the battery if the +ve terminal of the battery is connected to point X.

Given below are two statements:
Statement I: A speech signal of 2 kHz is used to modulate a carrier signal of 1 MHz. The bandwidth requirement for the signal is 4 kHz.
Statement II: The side band frequencies are 1002 kHz and 998 kHz.
In the light of the above statements, choose the correct answer from the options given below:

The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while 72$$^{nd}$$ division on circular scale coincides with the reference line. The radius of the wire is